Finding the Third Proportional to 12,097 and 25,643

Step by Step Solution

1. Step 1: Write the proportion equation
   12,097 : 25,643 = 25,643 : x
2. Step 2: Convert to fraction form
   12,097/25,643 = 25,643/x
3. Step 3: Cross multiply
   12,097x = 25,643 × 25,643
4. Step 4: Simplify right side
   12,097x = 657,563,449
5. Step 5: Solve for x
   x = 657,563,449/12,097
6. Step 6: Final answer
   x = 54,357.56